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Finding the Fourth Proportional to 668.60, 1,002.64 and 229.76

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Solution

The fourth proportional to 668.60, 1,002.64 and 229.76 is: 344.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.60 : 1,002.64 = 229.76 : x
  2. Step 2: Convert to fraction form
    668.60/1,002.64 = 229.76/x
  3. Step 3: Cross multiply
    668.60x = 1,002.64 × 229.76
  4. Step 4: Simplify right side
    668.60x = 230,366.57
  5. Step 5: Solve for x
    x = 230,366.57/668.60
  6. Step 6: Final answer
    x = 344.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.